List all integers $x$ in $1\leq3 x \leq 100$

Question

List all integers $x$ in $1\leq x \leq 100$ that satisfy $x \equiv 3\pmod{17}$ Will it be enough if a calculate and write it as $3,20,37,54,71,88$ or I have to use any theorem?

Answer 1

Hint: $3$ works; $17+3=20$ works; $2\cdot 17 +3 = 34 + 3 = 37$ works. Can you carry on?